{"id":4866,"date":"2025-05-03T20:01:45","date_gmt":"2025-05-03T18:01:45","guid":{"rendered":"https:\/\/www.psyctc.org\/psyctc\/?post_type=docs&#038;p=4866"},"modified":"2025-05-03T20:01:45","modified_gmt":"2025-05-03T18:01:45","password":"","slug":"bowleys-seven-figure-summary","status":"publish","type":"docs","link":"https:\/\/www.psyctc.org\/psyctc\/glossary2\/bowleys-seven-figure-summary\/","title":{"rendered":"Bowley\u2019s seven-figure summary"},"content":{"rendered":"\n<p>One of three &#8220;seven-figure&#8221; or &#8220;seven-number&#8221; summaries: i.e. ways of describing a distribution of values for a continuous variable by seven numbers.  They are all extensions of the five point summary (minimum, lower quartile, median, upper quartile and maximum)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Details<\/h4>\n\n\n\n<p>Bowley&#8217;s values are the minimum, first decile (i.e. 10% percentile), the five points of the lower quartile, median and upper quartile then the last decile (90% percentile) and the maximum.<\/p>\n\n\n\n<p>Bowley sounds to have been quite an important figure in statistics but I&#8217;d never heard of him. There&#8217;s <a href=\"https:\/\/en.wikipedia.org\/wiki\/Arthur_Lyon_Bowley\" target=\"_blank\" rel=\"noopener\" title=\"\">quite a sweet entry<\/a> about him in wikipedia.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Try also<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/distribution\/\" title=\"\">Distribution<\/a> and &#8230;<\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/distribution-shape\/\" title=\"\">Distribution shape<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/five-number-summary\/\" title=\"\">Five point summary<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/gaussian-normal-distribution\/\" title=\"\">Gaussian (\u201cNormal\u201d) distribution<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/null-hypothesis-significance-testing-nhst-paradigm\/\" title=\"\">Null hypothesis significance testing paradigm (NHST)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/percentiles\/\" title=\"\">Percentiles<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/quantiles\/\" title=\"\">Quantiles<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/quartiles\/\" title=\"\">Quartiles<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/seven-point-summaries\/\" title=\"\">Seven point summaries<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/the-seven-number-summary\/\" title=\"\">&#8220;The&#8221; seven point summary<\/a><\/li>\n<\/ul>\n\n\n\n<p>I had never come across it until I came to the five number summary for this glossary, and then to these seven number summaries.  I think with the ease with which we can now show good plots of the distributions of continuous scores this really isn&#8217;t necessary so I&#8217;d be surprised if it has a new vogue.  Mind you the rather daft &#8220;mean and SD&#8221; two number summary continues to be used, even made mandatory but the APA publication rules so summaries in our field aren&#8217;t about real statistical issues, they&#8217;re about traditions and things elevated to markers of respectability.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Chapters<\/h4>\n\n\n\n<p>Not covered in the OMbook.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Online resources<\/h4>\n\n\n\n<p>You could use one of my <a href=\"https:\/\/shiny.psyctc.org\" target=\"_blank\" rel=\"noopener\" title=\"\">shiny apps<\/a>, the one about <a href=\"https:\/\/shiny.psyctc.org\/apps\/ECDFplot\/\" target=\"_blank\" rel=\"noopener\" title=\"\">ECDF plot with quantiles and CIs for quantiles<\/a> in the unlikely event that you ever want to get any of these seven point splits of your data with their confidence intervals!<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Dates<\/h4>\n\n\n\n<p>First created 3.v.25.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>One of three &#8220;seven-figure&#8221; or &#8220;seven-number&#8221; summaries: i.e. ways of describing a distribution of values for a continuous variable by seven numbers. They are all extensions of the five point summary (minimum, lower quartile, median, upper quartile and maximum) Details Bowley&#8217;s values are the minimum, first decile (i.e. 10% percentile), the five points of the &hellip; <a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/bowleys-seven-figure-summary\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Bowley\u2019s seven-figure summary<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"footnotes":""},"doc_category":[],"glossaries":[],"doc_tag":[],"knowledge_base":[],"class_list":["post-4866","docs","type-docs","status-publish","hentry"],"year_month":"2026-04","word_count":278,"total_views":"566","reactions":{"happy":"0","normal":"0","sad":"0"},"author_info":{"name":"chris","author_nicename":"chris","author_url":"https:\/\/www.psyctc.org\/psyctc\/author\/chris\/"},"doc_category_info":[],"doc_tag_info":[],"knowledge_base_info":[],"knowledge_base_slug":[],"_links":{"self":[{"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/docs\/4866","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/docs"}],"about":[{"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/types\/docs"}],"author":[{"embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/comments?post=4866"}],"version-history":[{"count":1,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/docs\/4866\/revisions"}],"predecessor-version":[{"id":4867,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/docs\/4866\/revisions\/4867"}],"wp:attachment":[{"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/media?parent=4866"}],"wp:term":[{"taxonomy":"doc_category","embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/doc_category?post=4866"},{"taxonomy":"glossaries","embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/glossaries?post=4866"},{"taxonomy":"doc_tag","embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/doc_tag?post=4866"},{"taxonomy":"knowledge_base","embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/knowledge_base?post=4866"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}